57a^6-19a^8=0

Solution for 57a^6-19a^8=0 equation:

Simplifying
57a6 + -19a8 = 0

Solving
57a6 + -19a8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '19a6'.
19a6(3 + -1a2) = 0

Ignore the factor 19.
Subproblem 1
Set the factor 'a6' equal to zero and attempt to solve:

Simplifying
a6 = 0

Solving
a6 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -1a2)' equal to zero and attempt to solve:

Simplifying
3 + -1a2 = 0

Solving
3 + -1a2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a2 = 0 + -3
-1a2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1a2 = -3

Divide each side by '-1'.
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}
Solution
a = {-1.732050808, 1.732050808}